# Mathematics

• At Advantage Academy, students have numerous experiences investigating mathematical ideas and concepts through problem-solving activities, rotation stations, hands-on manipulatives, performances, and STEM.

Problem Solving Activities: Solving real-world life problems is a fun way to learn mathematics. Use a problem-solving model that includes analyzing a given problem, creating a plan or strategy, deciding a solution, justifying the solution, and evaluating your process to determine if your solution works well.

Rotation Stations: Small group rotations incorporate 14 Essential Elements and 3 Phases of the Tabor Rotation Framework. Experience concepts in varied modalities and in a way that is meaningful, engaging, and fun.

Hands-on Manipulatives: Explore your world both online and in the classroom using math manipulatives, including graphing technology.

STEM: STEM projects engage students in the engineering design process. Use simple materials to research and develop possible solutions for a variety of real-world problems. Design, construct, and test a prototype; communicate results; and evaluate and redesign to find even better solutions.

Performance-Based Assessments: Performance-based assessments are provided in every curriculum unit as an alternative method to a traditional pencil-and-paper test. These hands-on activities measure both content knowledge and the application of higher-order thinking skills.

Interactive Textbook: Science notebooks are powerful tools that can be used for conceptual understanding. Develop, practice, and refine the understanding of science while also enhancing vocabulary, reading, writing, mathematics, and communication skills.

# Elementary Mathematics Highlights

• Elementary students will gain an understanding in mathematics in the following areas of focus:

Kindergarten: Understanding counting and cardinality, addition as joining, and subtraction as separating and comparing objects by measurable attributes.

Grade 1: Understanding and applying place value, solving problems involving addition and subtraction, and composing and decomposing two-dimensional shapes and three-dimensional solids.

Grade 2: Making comparisons within the base-10 place value system, solving problems with addition and subtraction within the thousands, and building foundations for multiplication.

Grades 3-5:

• Applying place value and identify part-to-whole relationships and equivalence.
• Algebraic reasoning: Represent and solve problems with expressions and equations, build foundations of functions through patterning, identify prime and composite numbers, and use the order of operations.
• Geometry and measurement: Classify two-dimensional figures, connect geometric attributes to the measures of three-dimensional figures, use units of measure, and represent location using a coordinate plane.
• Data analysis: Represent and interpret data.

# Middle School Mathematics Highlights

• In Grades 6 - 8, student focus includes number and operations; proportionality; expressions, equations, and relationships; and measurement and data. Students will:

• Use concepts, algorithms, and properties of rational numbers to explore mathematical relationships and to describe increasingly complex situations.
• Use concepts of proportionality to explore, develop, and communicate mathematical relationships.
• Use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other.
• Connect verbal, numeric, graphic, and symbolic representations of relationships, including equations and inequalities.
• Use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems.
• Communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems.
• Use appropriate statistics, representations of data, and reasoning to draw conclusions, evaluate arguments, and make recommendations.

# High School Mathematics Highlights

• High School students will need 4 credits in math. The following courses are available to all high school students:

Algebra I: Students will study linear, quadratic, and exponential functions and their related transformations, equations, and associated solutions. Students will use technology to collect and explore data and analyze statistical relationships.

Geometry: Students will explore concepts covering logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; and probability.

Algebra II: Students will broaden their knowledge of quadratic functions, exponential functions, systems of equations, data analysis, logarithm, and algebraic methods.

Pre-Calculus: Pre-calculus deepens students' mathematical understanding with algebra and trigonometry and extends their ability to investigate and make connections; apply concepts and procedures at higher levels; and develop strategies for analyzing situations.

Financial Math: Students will learn personal money management and apply critical-thinking skills to analyze personal financial decisions based on current and projected economic factors. Financial Mathematics will integrate career and postsecondary education planning into financial decision-making.